首页|Effect of higher-order interactions on synchronization of neuron models with electromagnetic induction

Effect of higher-order interactions on synchronization of neuron models with electromagnetic induction

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? 2022 Elsevier Inc.Recent studies have shown that higher-order interactions have a vital role in exploring the collective dynamics of the networks. In particular, the collective behavior of a network of neuron models with many-body interactions has received much attention among researchers in recent times. In this paper, we study the effect of higher-order interactions in the synchronization stability of the network of neuron models, namely Hindmarsh-Rose and Morris-Lecar models, with electromagnetic induction. We consider both two-body and three-body interactions to be diffusive and analyze their effect on the synchronization of the network of neurons. Our analysis shows that higher-order interactions can make the neurons synchrony with the minimal value of first-order coupling strengths in both neuron models. Besides, electromagnetic flux coupling strength also has a significant effect on the synchronization of neurons. In the Hindmarsh-Rose neuron model, the flux coupling demands higher coupling strength in both the first and second-order interactions for the synchronization of neurons. However, the Morris-Lecar neuron model shows a notable distinct effect, where the flux coupling enhances the synchronization of neurons with lesser first and second-order coupling strengths.

Higher-order interactionsHindmarsh-Rose neuron modelMaster stability functionMorris-Lecar neuron modelSynchronization

Ramasamy M.、Devarajan S.、Kumarasamy S.、Rajagopal K.

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Complex Systems and Applications Lab Rajalakshmi Institute of Technology

Department of Mathematics M. Kumarasamy College of Engineering

Centre for Nonlinear Systems Chennai Institute of Technology

2022

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN:0096-3003
年,卷(期):2022.434
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